{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b730d6c6",
   "metadata": {},
   "source": [
    "# Ensemble Kalman Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6ce4118f",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8e7235d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
       "            max-height:100000px;\n",
       "        }\n",
       "        .output_scroll {\n",
       "            box-shadow:none !important;\n",
       "            webkit-box-shadow:none !important;\n",
       "        }\n",
       "        </style>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1d33e9fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from numpy.random import multivariate_normal\n",
    "from filterpy.stats import (covariance_ellipse, \n",
    "                            plot_covariance_ellipse)\n",
    "\n",
    "mean = (5, 3)\n",
    "P = np.array([[32, 15],\n",
    "              [15., 40.]])\n",
    "\n",
    "x,y = multivariate_normal(mean=mean, cov=P, size=2500).T\n",
    "plt.scatter(x, y, alpha=0.3, marker='.')\n",
    "plt.axis('equal')\n",
    "\n",
    "plot_covariance_ellipse(mean=mean, cov=P,\n",
    "                        variance=2.**2,\n",
    "                        facecolor='none')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5112d83b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.book_plots as bp\n",
    "from numpy.random import randn\n",
    "from filterpy.kalman import EnsembleKalmanFilter as EnKF\n",
    "from filterpy.kalman import KalmanFilter\n",
    "from filterpy.common import Q_discrete_white_noise\n",
    "\n",
    "np.random.seed(1234)\n",
    "\n",
    "def hx(x):\n",
    "    return np.array([x[0]])\n",
    "\n",
    "def fx(x, dt):\n",
    "    return F @ x\n",
    "    \n",
    "F = np.array([[1., 1.],[0., 1.]])\n",
    "\n",
    "x = np.array([0., 1.])\n",
    "P = np.eye(2) * 100.\n",
    "enf = EnKF(x=x, P=P, dim_z=1, dt=1., N=20, hx=hx, fx=fx)\n",
    "\n",
    "std_noise = 10.\n",
    "enf.R *= std_noise**2\n",
    "enf.Q = Q_discrete_white_noise(2, 1., .001)\n",
    "\n",
    "kf = KalmanFilter(dim_x=2, dim_z=1)\n",
    "kf.x = np.array([x]).T\n",
    "kf.F = F.copy()\n",
    "kf.P = P.copy()\n",
    "kf.R = enf.R.copy()\n",
    "kf.Q = enf.Q.copy()\n",
    "kf.H = np.array([[1., 0.]])\n",
    "\n",
    "measurements = []\n",
    "results = []\n",
    "ps = []\n",
    "kf_results = []\n",
    "\n",
    "zs = []\n",
    "for t in range (0,100):\n",
    "    # create measurement = t plus white noise\n",
    "    z = t + randn()*std_noise\n",
    "    zs.append(z)\n",
    "\n",
    "    enf.predict()\n",
    "    enf.update(np.asarray([z]))\n",
    "    \n",
    "    kf.predict()\n",
    "    kf.update(np.asarray([[z]]))\n",
    "\n",
    "    # save data\n",
    "    results.append (enf.x[0])\n",
    "    kf_results.append (kf.x[0,0])\n",
    "    measurements.append(z)\n",
    "    ps.append(3*(enf.P[0,0]**.5))\n",
    "\n",
    "results = np.asarray(results)\n",
    "ps = np.asarray(ps)\n",
    "\n",
    "plt.plot(results, label='EnKF')\n",
    "plt.plot(kf_results, label='KF', c='b', lw=2)\n",
    "bp.plot_measurements(measurements)\n",
    "plt.plot (results - ps, c='k',linestyle=':', lw=1, label='1$\\sigma$')\n",
    "plt.plot(results + ps, c='k', linestyle=':', lw=1)\n",
    "plt.fill_between(range(100), results - ps, results + ps, facecolor='y', alpha=.3)\n",
    "plt.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f73d4fb7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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